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SOME IDENTITIES ON THE q-BERNSTEIN POLYNOMIALS, q-STIRLING NUMBERS AND q-BERNOULLI NUMBERS

김영희|김태균|최종성
장전수학회 (Jangjeon Mathematical Society)|2010.07|Advanced Studies in Contemporary Mathematics|제20권 제3호|pp. 335-341

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참고문헌

키워드

Bernoulli numbers and polynomialsStirling numberBernstein polynomialBernstein operator
주제분류수학

초록

In this paper, we consider the q-Bernstein polynomials on Zp and investigate some interesting properties of q-Bernstein polynomials related to q-Stirling numbers and Carlitz’s type q-Bernoulli numbers.

Abstract

In this paper, we consider the q-Bernstein polynomials on Zp and investigate some interesting properties of q-Bernstein polynomials related to q-Stirling numbers and Carlitz’s type q-Bernoulli numbers.

참고문헌 (11)

  1. T. Kim, "Note on the modified q-Bernstein polynomials, arXiv 1005.4293", ~
  2. T. Kim, "q-Volkenborn integration", Russ. J. Math. Phys., 9(3), pp.288~299 (2002)
  3. T. Kim, "q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients", Russ. J. Math. Phys., 15, pp.51~57 (2008)
  4. T. Kim, "Note on the Euler q-zeta functions", J. Number Theory, 129, pp.1798~1804 (2009)
  5. T. Kim, "On a q-analogue of the p-adic log gamma functions and related integrals", J. Number Theory, 76, pp.320~329 (1999)
  6. T. Kim, "Barnes-type multiple q-zeta functions and q-Euler polynomials", J. Physics A : Math. Theor., 43, pp.255201~ (2010)
  7. T. Kim, "Power series and asymptotic series associated with the q-analog of the two-variable p-adic L-function", Russ. J. Math. Phys., 12, pp.186~196 (2005)
  8. T. Kim, "On p-adic interpolating function for q-Euler numbers and its dericatives", J. Math. Anal. Appl., 339, pp.598~608 (2008)
  9. G. M. Phillips, "Bernstein polynomials based on the q-integer", Annals of Numerical Analysis, 4, pp.511~518 (1997)
  10. S. Bernstein, "Demonstration du theoreme de Weierstrass, fondee sur le calcul des probabilities", Commun. Soc. Math. Kharkow (2), 13, pp.1~2 (1913)
  11. N. K. Govil, "Convergence of q-Meyer-König-Zeller-Durrmeyer operators", Advanced Studies in Contemporary Mathematics, 19(1), pp.97~108 (2009), 장전수학회

관련 논문AI추천

A new identities on the q-Bernoulli numbers and polynomialsC. S. Ryoo, T. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제2호SOME IDENTITIES FOR q-BERNOULLI NUMBERS AND POLYNOMIALS ARISING FROM q-BERNSTEIN POLYNOMIALS권종겸, 김대산, 장관우, 장이채장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제4호Some identities on the twisted (h, q)-Bernoulli numbers and polynomialsB. Lee, C. S. Ryoo, T. Kim, Y. H. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제3호Some identities of the twisted q-Euler numbers and polynomials associated with q-Bernstein polynomials유천성장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제2호Identities on the weighted q-Euler numbers and q-Bernstein polynomials김태균장전수학회 · Advanced Studies in Contemporary Mathematics2012 · 제22권 제1호Some identities on the Bernstein and q-Genocchi polynomials김현미대한수학회 · 대한수학회보2013 · 제50권 제4호

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